55906329600 has 1584 divisors, whose sum is σ = 243918554880. Its totient is φ = 12541132800.

The previous prime is 55906329599. The next prime is 55906329617. The reversal of 55906329600 is 692360955.

55906329600 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 6 + 32 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-3 number, since 3×55906329600³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1300147179 + ... + 1300147221.

Almost surely, 2^55906329600 is an apocalyptic number.

55906329600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55906329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121959277440).

55906329600 is an abundant number, since it is smaller than the sum of its proper divisors (188012225280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55906329600 is a wasteful number, since it uses less digits than its factorization.

55906329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 55906329600 in words is "fifty-five billion, nine hundred six million, three hundred twenty-nine thousand, six hundred".